blender kill particles not viewing in render
To prevent internal or viewport cache errors, save your particle cache to the disk before rendering. Enable Disk Cache under Particle Properties > Cache and click Bake all Dynamics:

 
Cache panel

 
Frame 7200 - 7325 cached to disk and rendered with Eevee

For several reasons but mostly because of the colour range provided by some of the available image formats, I suggest render your animation to an image sequence (preferably .exr) and compile the images into a video container like .mov, .mp4 or whatever afterwards.